Simplify -3/( square root of 3)

Problem

(−3)/√(,3)

Solution

1. Identify the expression as a fraction with a radical in the denominator.

2. Rationalize the denominator by multiplying both the numerator and the denominator by √(,3)

3. Multiply the terms in the numerator and the denominator.

(−3⋅√(,3))/(√(,3)⋅√(,3))

4. Simplify the denominator, noting that √(,3)⋅√(,3)=3

(−3√(,3))/3

5. Divide the coefficients to reduce the fraction.

−1√(,3)

Final Answer

(−3)/√(,3)=−√(,3)

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